According to Poiseuille's laws, the velocity $V$ of blood is given by where $R$ is the radius of the blood vessel, $r$ is the distance of a layer of blood flow from the center of the vessel, and $k$ is a constant. A patient takes blood vessel dilation medication so that her blood velocity is modeled by$$ Poiseuille's law with $k=577\mathrm{.}3.$ Find the rate of change o$f$ the blood velocity when $R=0\mathrm{.}07mm$ and and R is changing at $0\mathrm{.}004$ mm per minute. Assume r is constant. The blood velocity is increasing at ${?}_{{?}_{?}}{?}_{{?}_{?}}{?}_{{?}_{?}}{?}_{}$mm per minute each minute.

$($Round to the nearest thousandth as$$ needed.$)$

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